TDOOCalculate the strain tensor.Write the characteristic equation for the three-dimensional state of strain.Calculate the principal strains at the point.Calculate the volumetric strain and the deviatoric strain invariants Q1The state of stress at a point of an elastic solid is given in the x-y-z coordinates by:xy[0]=0x0y0zy[1000of0₂2 0 70 5060 0-90 70 MPaThe material is linear elastic (E=210 GPa, v=0.3)

The stress along x-direction, σx = 100 MPaThe stress along y-direction, σy = -90 MPaThe stress along…

Q1 The state of stress at a point of an elastic solid is given in the x-y-z coordinates by: 0 0 XX xy [0]= 0, 0, 0yz 6 6 [100 0 0 0 0 -90 70 MPa 70 50 The material is linear elastic (E-210 GPa, v=0.3)

Q1 The state of stress at a point of an elastic solid is given in the x-y-z coordinates by: 0 0 XX xy [0]= 0, 0, 0yz 6 6 [100 0 0 0 0 -90 70 MPa 70 50 The material is linear elastic (E-210 GPa, v=0.3)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.

Question

TDOO
Calculate the strain tensor.
Write the characteristic equation for the three-dimensional state of strain.
Calculate the principal strains at the point.
Calculate the volumetric strain and the deviatoric strain invariants

Q1
The state of stress at a point of an elastic solid is given in the x-y-z coordinates by:
xy
[0]=0x0y
0
zy
[100
0
of
0₂2 0 70 50
6
0 0
-90 70 MPa
The material is linear elastic (E=210 GPa, v=0.3)

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Step 2: determine the shear modulus

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Step 3: determine the strain tensor

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Step 4: characteristics equation of strain

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Step 5: Principle strain at the point

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